Dirichlet character χ46208(747,⋅)\chi_{46208}(747,\cdot)

• Label: 46208.747
• Modulus: $46208$
• Conductor: $46208$
• Order: $5472$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$46208$
Conductor:	$46208$
Order:	$5472$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 46208.fk

$\chi_{46208}(35,\cdot)$ $\chi_{46208}(43,\cdot)$ $\chi_{46208}(123,\cdot)$ $\chi_{46208}(131,\cdot)$ $\chi_{46208}(139,\cdot)$ $\chi_{46208}(187,\cdot)$ $\chi_{46208}(195,\cdot)$ $\chi_{46208}(251,\cdot)$ $\chi_{46208}(275,\cdot)$ $\chi_{46208}(283,\cdot)$ $\chi_{46208}(291,\cdot)$ $\chi_{46208}(339,\cdot)$ $\chi_{46208}(347,\cdot)$ $\chi_{46208}(403,\cdot)$ $\chi_{46208}(427,\cdot)$ $\chi_{46208}(435,\cdot)$ $\chi_{46208}(443,\cdot)$ $\chi_{46208}(491,\cdot)$ $\chi_{46208}(499,\cdot)$ $\chi_{46208}(555,\cdot)$ $\chi_{46208}(579,\cdot)$ $\chi_{46208}(587,\cdot)$ $\chi_{46208}(643,\cdot)$ $\chi_{46208}(651,\cdot)$ $\chi_{46208}(707,\cdot)$ $\chi_{46208}(731,\cdot)$ $\chi_{46208}(739,\cdot)$ $\chi_{46208}(747,\cdot)$ $\chi_{46208}(795,\cdot)$ $\chi_{46208}(803,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{5472})$
Fixed field:	Number field defined by a degree 5472 polynomial (not computed)

Values on generators

$(28159,36101,14081)$ → $(-1,e\left(\frac{13}{32}\right),e\left(\frac{61}{171}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 46208 }(747, a)$	$-1$	$1$	$e\left(\frac{1661}{5472}\right)$	$e\left(\frac{911}{5472}\right)$	$e\left(\frac{65}{912}\right)$	$e\left(\frac{1661}{2736}\right)$	$e\left(\frac{761}{1824}\right)$	$e\left(\frac{2497}{5472}\right)$	$e\left(\frac{643}{1368}\right)$	$e\left(\frac{1361}{1368}\right)$	$e\left(\frac{2051}{5472}\right)$	$e\left(\frac{737}{2736}\right)$